Let be one root of the equation where is a constant. Then what is the other root?
Let be the solution set of the equation Then what is
How many ordered pairs are there such that is a nonzero integer that satisfies , is a nonzero integer that satisfies , and
Details and assumptions
For an ordered pair of integers , the order of the integers matter. The ordered pair is different from the ordered pair .
How many ordered triples of integers subject to are there, such that
If , what is the value of